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A336081
Decimal expansion of the ratio of segment areas for arclength 3 on the unit circle; see Comments.
1
1, 1, 9, 7, 7, 7, 8, 6, 1, 4, 3, 1, 5, 1, 8, 2, 9, 7, 0, 9, 1, 1, 0, 6, 4, 7, 3, 2, 9, 9, 0, 8, 0, 0, 8, 9, 1, 2, 5, 8, 5, 1, 0, 8, 9, 4, 5, 9, 9, 3, 4, 6, 3, 8, 1, 5, 6, 3, 4, 9, 2, 2, 2, 5, 1, 3, 7, 2, 5, 3, 6, 0, 5, 3, 5, 1, 2, 2, 9, 2, 2, 5, 0, 0, 2, 2
OFFSET
1,3
COMMENTS
Suppose that s in (0,Pi) is the length of an arc of the unit circle. The associated chord separates the interior into two segments. Let A1 be the area of the larger and A2 the area of the smaller. The term "ratio of segment areas" means A1/A2. See A336073 for a guide to related sequences.
FORMULA
ratio = (2*Pi - s + sin(s))/(s - sin(s)), where s = 3.
EXAMPLE
ratio = 1.19777861431518297091106473299080089125851089...
MATHEMATICA
s = 3; r = N[(2 Pi - s + Sin[s])/(s - Sin[s]), 200]
RealDigits[r][[1]]
CROSSREFS
Cf. A336073.
Sequence in context: A183699 A203079 A232128 * A086278 A081855 A019887
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 11 2020
STATUS
approved